Question 72339
You're looking for a number which allows you to find 2 numbers that add to 1. There are infinite possibilities for this to happen. For instance you could have k=30 and the polynomial could factor to (x+6)(x-5) (which FOILs to x^2+x-30). Or you could have k=42 and the polynomial factors to (x+7)(x-6) (which FOILs to x^2+x-42). The list of k values is infinite, but k needs to be the product of 2 factors which have a difference of 1 (for instance 6 and 7, or 5 and 6) in order for this to work.